Mouse Jumping on the Screen
How to resolve the Mac mouse jumping around the screen
Mac mice can be accidently paired to multiple computers at one time via Bluetooth. Follow the steps below to un-pair the mouse from other computers.
Step 1 - Hold down the Shift and Option keys ('Alt' on some keyboards) and at the same time click on the Bluetooth icon in the menu bar. Once the menu is showing, release the keys.
Step 2 - From the Bluetooth menu, choose Debug > Remove All Devices.
Step 3 - Reboot your Mac, then setup your keyboard and/or mouse as normal.